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Question 381213: Would greatly appreciate help! I need to graph the following system of linear equations:
2x-5y_<10
3x-2y<6
Please note that the underscore denotes =, so it is "less than or equal to" the given number.
Here is what I have so far:
I have set each equation with an equal sign and worked out my x-intercept and y-intercept coordinates like this:
LINE 1
2x-5y=10
2x-5*0=10
2x=10
10/2
x=5
sooo...x coordinates are (5,0)
Now for y...
2*0-5y=10
-5y=10
10/-5
y=-2
sooo... y coordinates are (0,-2)
That takes care of the line for the first equation. Now for the second line denoted by the second equation:
3x-2y=6
To get x-intercept:
3x-2*0=6
3x=6
6/3
x=2
sooo... x coordinates are (2,0)
Now for y...
3*0-2y=6
-2y=6
6/-2
y=-3
sooo.. y coordinates are (0,-3)
In the original system of equations, line 1 should be a solid line because it is included in the equation, and line 2 would be a dashed line because it is NOT included in the equation.
When I plotted these coordinates on my graph, it differed from the answer in the textbook. The book shows an open dot at (0,0.5) with a dashed line and a solid line radiating in positive directions from the open dot-not like my answer at all! Could someone please set me straight?! Thank you!!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! You should have gotten the following graph
Note: the red solid line is the boundary of the first inequality and the green dashed line is the boundary of the second inequality. The solution set to the system of inequalities is shown as the blue shaded region.
Let me know if that's what you got. If so, then good job.
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